324 INDEX
fine structure constant, 7
finite-particle space, 91
form factor, 229
Fourier transform, 4
functional derivative, 268
Furry’s theorem, 233
g-factor, 76
gauge, 27, 291
gauge fields, 294
renormalization of, 303
gauge transformation, 27, 294
Gaussian process, 288
Gell-Mann–Low formula, 184
generating functional, 270
global symmetry, 293
gluon, 297
Goldstone Boson, 300
Goldstone’s theorem, 300
Gordon identity, 229
grand unified theory, 315
hadron, 7
Hamilton’s equations, 14
Hamiltonian, 14, 49
harmonic oscillator, 17, 53
Heaviside-Lorentz units, 6
Heisenberg algebra, 44
Heisenberg group, 44
Heisenberg picture, 40
helicity, 86
Hermitian operator, 37
Higgs Boson, 309
Higgs field, 309
Higgs mechanism, 303
hypercharge, 307
infrared divergence, 195, 231
initial vertex, 155
interaction picture, 124
intermediate vector Boson, 305
internal line, 155
internal vertex, 155
isospin, 307
ket, 2
Klein-Gordon equation, 66
Lagrange’s equation, 18
Lagrangian, 18
Lamb shift, 81, 244, 251
Landau gauge, 27
Lehmann-Symanzik-Zimmerman formula,
188
lepton, 7
light cone, 10
line width, 131
local observables, 121
local quantum field theory, 122
local symmetry, 293
Lorentz force, 25
Lorentz gauge, 27
Lorentz group, 8
Lorentz inner product, 3
LSZ formula, 188
magnetic moment, 76
anomalous, 76, 250
Mandelstam variables, 209
mass shell, 10
Maxwell’s equations, 25
meson, 8
Minkowski space, 3
Nambu-Goldstone Boson, 300
Noether’s theorem, 17, 20
nonrenormalizable theory, 199
normal ordering, 111, 144
normalized state, 34
number operator, 91, 94
observable, 33, 36
orbital angular momentum, 59
orthochronous Lorentz group, 9
overlapping divergences, 252
Pauli exclusion principle, 95
Pauli matrices, 10
Pauli-Villars regularization, 203
PCT theorem, 121
φ4
scalar field theory, 140
Feynman rules for, 164
renormalization of, 206–211, 217
photon propagator, 152, 276
Planck scale, 7
Planck’s constant, 6, 43
Poincar´ e group, 12
Poisson bracket, 14
polarization vector, 117
principle of least action, 19
Proca equations, 116
projective representation, 39
propagator, 146
Dirac, 150
Feynman, 147
photon, 152, 276
QED, 140
quantum chromodynamics, 297–299
quantum electrodynamics, 140
Feynman rules for, 165
renormalization of, 224–251
quantum numbers, 63
quark, 7, 297
reduced mass, 18
reduction formula, 188
renormalizable theory, 199
renormalization
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